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Finding the Fourth Proportional to 2,145.06, 3,218.24 and 896.26

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Solution

The fourth proportional to 2,145.06, 3,218.24 and 896.26 is: 1,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.06 : 3,218.24 = 896.26 : x
  2. Step 2: Convert to fraction form
    2,145.06/3,218.24 = 896.26/x
  3. Step 3: Cross multiply
    2,145.06x = 3,218.24 × 896.26
  4. Step 4: Simplify right side
    2,145.06x = 2,884,379.78
  5. Step 5: Solve for x
    x = 2,884,379.78/2,145.06
  6. Step 6: Final answer
    x = 1,344.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.